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Paladinen [302]
3 years ago
11

The formula for the nth squaresquare number is Upper S Subscript n Baseline equals n squaredSn=n2. Use the formula to find the 9

9th squaresquare number.
Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

9801

Step-by-step explanation:

Given the general term for calculating the nth term of a sequence;

Sn = n²

Where n is the number of terms.

To find the 99th term of the sequence using the nth term of the sequence;

Since we want to get the 99th term, this means that n = 99. Substituting n = 99 into the formula we will have;

S99 = 99²

S99 = 9,801

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Five times the difference of twice a number and nine is negative five. Find the number.
Ilya [14]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write out the expression

5(2x - 9) = -5

Step 2: Solve for <em>x</em>

10x - 45 = -5

10x = 40

x = 4

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3 years ago
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A ladder leaning against a building makes an angle of 58° with level ground. If the distance from the foot of the ladder to the
s344n2d4d5 [400]

Answer:

About 10 feet

Step-by-step explanation:

Please see the attached image.

tan(58)=x/6

x=tan(58)*6≈10

4 0
3 years ago
Jada had some dimes and quarters that had a total value of $12.50
zubka84 [21]

Answer:

1.She has 115 dimes because 0.10*115=11.5 0.25*4=1.00 11.5+1.00=12.5

2.She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5

3.I think they don’t function because quarters are worth more than a dime.

4.he has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.

5.She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5

6.Yes they can function because q=dx-12.5

The Questions:

Question 1 - 1 pts

If Jada has 4 quarters, how many dimes does she have?

Question 2 - 1 pts

If Jada has 10 quarters, how many dimes does she have?

Question 3 - 1 pts

Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.

Question 4 - 1 pts

If Jada has 25 dimes, how many quarters does she have?

Question 5 - 1 pts

If Jada has 30 dimes, how many quarters does she have?

Question 6 - 1 pts

Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.

7 0
3 years ago
Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v
n200080 [17]
13.3 is the rate boom
6 0
4 years ago
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A number is decreased by 3 and then the result is doubled. if the new result is 6 more than half the original number, what is th
Blizzard [7]
The answer is:  " 8 " .
________________________________
Explanation: 
________________________________
Let "x" represent the "original number".

2(x - 3) = 6 + (1/2)x ;  Solve for "x" ;
______________________________________
Multiple the ENTIRE EQUATION (both sides) by "2" ; to get rid of the fraction:

2*{2(x - 3) = 6 + (1/2)x} ; 

to get:

4(x - 3) = 12 + x ; 
___________________________
  Let us expand the "left-hand side" of the equation:
_____________________________________________
Note the "distributive property of multiplication" :
_____________________________________________
        a(b - c) = ab -  ac ; 
        
        a(b +c) = ab + ac ;
______________________________________________
So;  "4(x - 3)" = 4*x - 4*3 = 4x - 12 ; 
______________________________________________
Rewrite the equation:
_______________________________________________
  4x - 12 = 12 + x ;

Subtract "x" from EACH side of the equation; and Add "12" to EACH SIDE OF THE EQUATION; 
______________________________________________
  4x - 12 - x + 12 = 12 + x - x + 12 ;

to get:
______________________________________________
     3x = 24 ; 
_____________________________________________
Now, divide EACH side of the equation by "3" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_____________________________________________
    3x/3 = 24/3 ; 
_____________________________________________
      x = 8 .
_____________________________________________
6 0
4 years ago
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